5(x+3)-5x^2-1=x^2+7(3-x)-1

Simple and best practice solution for 5(x+3)-5x^2-1=x^2+7(3-x)-1 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 5(x+3)-5x^2-1=x^2+7(3-x)-1 equation: 



5(x+3)-5x^2-1=x^2+7(3-x)-1

We move all terms to the left:

5(x+3)-5x^2-1-(x^2+7(3-x)-1)=0

We add all the numbers together, and all the variables

-5x^2+5(x+3)-(x^2+7(-1x+3)-1)-1=0

We multiply parentheses

-5x^2+5x-(x^2+7(-1x+3)-1)+15-1=0



We calculate terms in parentheses: -(x^2+7(-1x+3)-1), so:

x^2+7(-1x+3)-1

We multiply parentheses

x^2-7x+21-1

We add all the numbers together, and all the variables

x^2-7x+20

Back to the equation:

-(x^2-7x+20)



We add all the numbers together, and all the variables

-5x^2+5x-(x^2-7x+20)+14=0

We get rid of parentheses

-5x^2-x^2+5x+7x-20+14=0

We add all the numbers together, and all the variables

-6x^2+12x-6=0

a = -6; b = 12; c = -6;
Δ = b2-4ac
Δ = 122-4·(-6)·(-6)
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{-12}{-12}=1$

See similar equations:

| (2x-1)^2=x2+3x-5 | | X+3+x+6+x+9=18x | | (2/3)x+6=(1/3)x-13 | | 6z+8=z+10-7z | | (2x-1)2=x2+3x-5 | | 10x+50=35x | | 12-7c=8c-2 | | 8x-1+4x=-13 | | 2w-9=11 | | 248=104-x | | -5t^2+30t-20=0 | | 7a+3a=30 | | (x+4)^2=(4-x)(4+x) | | 6x2+5=0 | | 4/5k=-2/5 | | 2r^​3+8r^​2=90r | | -8(x-1)=-9(x-3) | | 34q-7q=-8 | | 8v+27=4(5+3v)-4v | | 6+(-21)+2x=x-3 | | x-1/x-2=x-3/2x-5 | | 8x+4(-5x)=-12 | | 7(x+12)+5=180 | | z-17=-12 | | 3y^2=y^2+10y+7 | | x-5=2x-3(-4x-5)-10x | | 10(x+3)=150 | | x-4/x+2=8/4x | | 72=4.5z72=4.5z | | 5(-7-7n)-4(n+7)=54 | | 152/3y-8=180 | | 55=4(3n+7)-5(n-4) |

Equations solver categories